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| HAL: hal-00708643, version 1 |
| arXiv: 1206.3692 |
| Detailed view |  Export this paper |
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| Sur la dynamique des difféomorphismes birationnels des surfaces algébriques réelles : ensemble de Fatou et lieu réel |
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| Arnaud Moncet 1 |
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| (2012-06-15) |
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| This text deals with birationnal diffeomorphisms of real algebraic surfaces which have simple real dynamics and rich complex dynamics. We give an example of such a transformation on P^1xP^1, then we show that this situation is exceptional and implies strong conditions on both the topology of the real locus and the real dynamics. |
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| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| Théorie ergodique |
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| Subject | : | Mathematics/Dynamical Systems Mathematics/Algebraic Geometry |
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| dynamique complexe – dynamique réelle – surfaces – transformations birationnelles – ensemble de Fatou – degré dynamique – domaine de rotation |
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| hal-00708643, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00708643 | |
| oai:hal.archives-ouvertes.fr:hal-00708643 | |
| From: Arnaud Moncet | |
| Submitted on: Friday, 15 June 2012 14:30:11 | |
| Updated on: Monday, 18 June 2012 13:15:45 | |
